154 LearnersLast updated on May 26th, 2025
Divisibility Rule of 392
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 392.
What is the Divisibility Rule of 392?
The divisibility rule for 392 is a method by which we can determine if a number is divisible by 392 without using the division method. To check whether 7840 is divisible by 392, follow these steps:
Step 1: Check divisibility by 8. The last three digits of 7840 are 840, and 840 is divisible by 8.
Step 2: Check divisibility by 49 (since 392 = 8 × 49). Divide the number by 49. The number 7840 divided by 49 gives us 160, which is an integer.
Since 7840 is divisible by both 8 and 49, it is divisible by 392.
Tips and Tricks for Divisibility Rule of 392
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 392.
Know the multiples of 392:
Memorize the multiples of 392 (392, 784, 1176, etc.) to quickly check the divisibility.
Use the factors of 392:
Since 392 is 8 × 49, check divisibility by both 8 and 49 to determine divisibility by 392.
Repeat the process for large numbers:
For larger numbers, first check divisibility by 8, then by 49. Repeat the process until you find a smaller number that is divisible by both.
Use the division method to verify:
Use the division method as a way to verify and crosscheck your results. This will help in verification and learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 392
The divisibility rule of 392 helps us quickly check if a given number is divisible by 392, but common mistakes like calculation errors lead to incorrect conclusions. Here, we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking both 8 and 49 for divisibility.
Ensure both 8 and 49 divide the number without a remainder to confirm divisibility by 392.
Mistake 2
Focusing only on part of the number.
Remember to consider the entire number while checking divisibility by 8 and then 49.
Mistake 3
Not repeating the process when the result is large.
If the number is large, continue checking divisibility by 8 and 49 until you find a smaller number.
Mistake 4
Forgetting the factor relationship.
Remember that 392 = 8 × 49, and verify divisibility with both factors.
Mistake 5
Confusing the steps.
Practice regularly to understand and remember the steps for checking divisibility by 392.
Divisibility Rule of 392 Examples
Problem 1
Is the number of pages in a book, 784, divisible by 392?
Yes, 784 is divisible by 392.
Explanation
To determine if 784 is divisible by 392, consider the following:
1) Divide 784 by 392 to check if the result is an integer.
2) 784 ÷ 392 = 2, which is an integer.
Therefore, 784 is divisible by 392.
Problem 2
A library has 1176 books. Can these books be divided equally among 392 shelves?
Yes, 1176 books can be divided equally among 392 shelves.
Explanation
To verify, follow these steps:
1) Divide 1176 by 392 to check for an integer result.
2) 1176 ÷ 392 = 3, which is an integer.
Thus, 1176 is divisible by 392.
Problem 3
A factory produces 1568 widgets. Is it possible to package these widgets into boxes containing 392 each?
Yes, 1568 widgets can be packaged into boxes containing 392 each.
Explanation
Check the divisibility as follows:
1) Divide 1568 by 392 to see if the result is an integer.
2) 1568 ÷ 392 = 4, an integer.
Hence, 1568 is divisible by 392.
Problem 4
A company has 980 employees and wants to organize them into teams of 392. Is this possible?
No, 980 employees cannot be organized into teams of 392.
Explanation
Verify the possibility by:
1) Dividing 980 by 392 to check for an integer result.
2) 980 ÷ 392 ≈ 2.5, not an integer.
Therefore, 980 is not divisible by 392.
Problem 5
Is a shipment of 1960 units divisible by 392 when organizing inventory?
Yes, 1960 units are divisible by 392.
Explanation
To confirm, perform the following calculation:
1) Divide 1960 by 392.
2) 1960 ÷ 392 = 5, which is an integer.
Thus, 1960 is divisible by 392.
FAQs on Divisibility Rule of 392
1.What is the divisibility rule for 392?
2.How many numbers are there between 1 and 1000 that are divisible by 392?
3.Is 1176 divisible by 392?
4.What if I get 0 after checking the divisibility by 8 or 49?
5. Does the divisibility rule of 392 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 392?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 392 with numbers?
8.What role do numbers and Divisibility Rule of 392 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 392 skills?
Important Glossaries for Divisibility Rule of 392
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without direct division.
- Factors: Numbers that multiply together to form another number. For 392, the factors are 8 and 49.
- Multiples: Results we get after multiplying a number by an integer. For example, multiples of 392 are 392, 784, and so on.
- Integer: A whole number that can be positive, negative, or zero.
- Remainder: The amount left over after division when one number doesn't evenly divide another.
Explore More numbers
About BrightChamps in Qatar
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
